Finding the Fourth Proportional to 267,214,266,553.74, 368,757,145,653.75 and 157,353,405,748.62
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Solution
The fourth proportional to 267,214,266,553.74, 368,757,145,653.75 and 157,353,405,748.62 is: 217,148,558,387.65
Step by Step Solution
- Step 1: Write the proportion equation
267,214,266,553.74 : 368,757,145,653.75 = 157,353,405,748.62 : x - Step 2: Convert to fraction form
267,214,266,553.74/368,757,145,653.75 = 157,353,405,748.62/x - Step 3: Cross multiply
267,214,266,553.74x = 368,757,145,653.75 × 157,353,405,748.62 - Step 4: Simplify right side
267,214,266,553.74x = 58,025,192,762,757,487,788,032 - Step 5: Solve for x
x = 58,025,192,762,757,487,788,032/267,214,266,553.74 - Step 6: Final answer
x = 217,148,558,387.65
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.